Brian McLogan
Learn how to use the formula for vertex and axis of symmetry to graph a parabola
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Given One Factor Using Synthentic Division to Determine the Remaining Zeros
π Learn how to find all the zeros of a polynomial given one rational zero. A polynomial is an expression of the form ax^n + bx^(n-1) + . . . + k, where a, b, and k are constants and the exponents are positive integers. The zeros of a...
Brian McLogan
Write the equation in standard form by completing the square to find vertex, focus and directrix
Learn how to graph a horizontal parabola. A parabola is the shape of the graph of a quadratic equation. A parabola is said to be horizontal if it opens to the left or opens to the right. A horizontal parabola results from a quadratic...
Brian McLogan
Evaluate the limit of a quadratic function by observing the graph
π Learn how to evaluate the limit of a function involving polynomials. The limit of a function as the input variable of the function tends to a number/value is the number/value which the function approaches at that time. The limit of a...
Brian McLogan
Learn how to graph the parent graph of a quadratic equation in standard form using a table
π Learn the basics to understanding graphing quadratics. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Graphing a quadratic by converting to vertex form
π Learn how to graph quadratic equations by completing the square. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which...
Brian McLogan
Given the vertex and focus learn to write the equation of the parabola in standard form
Learn how to write the equation of a parabola given the vertex and the focus. A parabola is the shape of the graph of a quadratic equation. A parabola can open up or down (if x is squared) or open left or right (if y is squared). Recall...
Brian McLogan
Learn how to evaluate the left and right hand limits of a piecewise function with thre
π Learn how to evaluate the limit of a piecewice function. A piecewise function is a function that has different rules for a different range of values. The limit of a function as the input variable of the function tends to a number/value...
Brian McLogan
How do you describe your solutions using the discriminate
π Learn how to solve a quadratic equation by applying the quadratic formula. To apply the quadratic formula the quadratic equation must be equal to zero. Then you can apply the quadratic formula to determine solutions to the equation,...
Brian McLogan
What is an axis of symmetry
Definitions are very important to your understanding of why and how we use mathematical processes. Without understanding what a process or certain terms mean it is very hard to understand how or why to do something. That is why I want to...
Brian McLogan
Graphing a quadratic function in standard form
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
KnowMo
Advanced Types of Sequences: Fibonacci, Quadratic and Geometric Progressions
In this video lecture, the instructor introduces advanced types of sequences, including balance sequences, quadratic sequences, and geometric progressions. The instructor explains how to identify these different types of sequences and...
Brian McLogan
Finding the equation of a quadratic in vertex form by looking at the graph
π Learn how to write the equation of a parabola given three points. The equation of a parabola is of the form f(x) = ax^2 + bx + c, where a, b and c are constants. Since, the equation of a parabola has 3 constants, three equations and...
Brian McLogan
Find the vertex and x intercepts of a quadratic
π Learn how to identify the vertex of a parabola by completing the square. A parabola is the shape of the graph of a quadratic equation. A quadratic equation can be written in the standard form (i.e. in the form y = ax^2 + bx + c) or it...
FuseSchool
Other Graphs - Sin Cos Tan Exponential
You should already know what a straight line, quadratic, cubic and reciprocal look like when plotted on a graph. In this video we will discover what the sin, cos and tan graphs look like and also exponential functions. You don't...
Brian McLogan
How to classify polynomials
π Learn how to classify polynomials. A polynomial is an expression of the sums/differences of two or more terms having different interger exponents of the same variable. A polynomial can be classified in two ways: by the number of terms...
Curated Video
Introduction to Inverse Functions and Graphing Techniques
The video is about inverse functions and how to determine if a pair of functions are inverses of each other. It starts with explaining the concept of inverse functions and works through examples of finding the inverse function, including...
Brian McLogan
What is the relative mininum or maximum of a quadratic
π Learn the essentials for graphing a quadratic equation. A quadratic equation is an equation of the form y = ax^2 + bx + c, where a, b and c are constants. The graph of a quadratic equation is in the shape of a parabola which can either...
FuseSchool
Quadratic Graphs - Part 2
CREDITS Animation & Design: Jean-Pierre Louw Narration: Lucy Billings Script: Lucy Billings In this video we are going to discover even more information connecting the quadratic equation with itβs graphed function. We will look at the...
Brian McLogan
Understanding the basic transformations of graphs for Pre Calculus
π Learn how to determine the transformation of a function. Transformations can be horizontal or vertical, cause stretching or shrinking or be a reflection about an axis. You will see how to look at an equation or graph and determine the...
Brian McLogan
Add two functions and determine the domain
π Learn how to add or subtract two functions. Given two functions, say f(x) and g(x), to add (f+g)(x) or f(x) + g(x) or to subtract (f - g)(x) or f(x) - g(x) the two functions we use the method of adding/subtracting algebraic expressions...
Brian McLogan
Learn how to graph a quadratic using the axis of symmetry and table of values
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Brian McLogan
Learn how to graph a quadratic equation
π Learn how to graph quadratics in standard form. A quadratic equation is an equation whose highest exponent in the variable(s) is 2. To graph a quadratic equation, we make use of a table of values and the fact that the graph of a...
Curated Video
Completing the Square with a Model for Quadratic Expressions (A > 1)
Using a model, this video demonstrates how to rearrange the expression to form a square and determine the dimensions. It also emphasizes the misconception that x * x equals 2x, clarifying that x * x actually equals x squared. Through...